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MQM and MQY harmonics in Fidel

MQM and MQY harmonics in Fidel. Walter Venturini Delsolaro FIDEL meeting, 28 April 2009. Outline. Models for MQM and MQY harmonics Warm-Cold correlations (with and without µ-corrections) Generic models for b 6 and b 10 REFPARM files.

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MQM and MQY harmonics in Fidel

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  1. MQM and MQY harmonics in Fidel Walter Venturini Delsolaro FIDEL meeting, 28 April 2009

  2. Outline Models for MQM and MQY harmonics Warm-Cold correlations (with and without µ-corrections) Generic models for b6 and b10 REFPARM files

  3. Measurement data and REFPARM All magnets were measured at warm during series production with rotating coils (TF + first 10 multipoles) 50 MQM apertures and 26 MQY apertures measured at cold in Block 4 Agreement for REFPARM: for each magnet we give the value of the first 10 multipoles extrapolated at cold from the w/c correlations, i.e. adding the average C-W shift plus a model of b6 and of b10 (first two allowed harmonics).

  4. Summary MQM harmonics at warm

  5. Warm – cold correlations: MQM b3 b3 warm units b3 cold units

  6. Warm – cold correlations: MQM a3 a3 warm units a3 cold units

  7. Warm – cold correlations: MQM b4 b4 warm units b4 cold units

  8. Warm – cold correlations: MQM a4 a4 warm units a4 cold units

  9. Warm – cold correlations: MQM b6 b6 warm units b6 cold units

  10. Warm – cold correlations: MQM b10 b10 warm units b10 cold units

  11. Allowed harmonics at cold: b6

  12. Not allowed harmonics at cold, example: b3

  13. MQM, b6 hysteresis loops

  14. MQM, b10 hysteresis loops

  15. b6 model for MQM Active components: GEOMETRIC DC magnetization RES magnetization I GEOM = 2000 A µ = -10 p = 0.55 q = 1 ρ = 0.2 τ = 10.5

  16. b10 model for MQM Active components: GEOMETRIC DC magnetization RES magnetization I GEOM = 2000 A µ = 0.5 p = 0.6 q = 1.5 ρ = 0.048 τ = 4.18

  17. Summary MQY harmonics at warm

  18. Warm – cold correlations: MQY b3 b3 warm units b3 cold units

  19. Warm – cold correlations: MQY a3 a3 warm units a3 cold units

  20. Warm – cold correlations: MQY b4 b4 warm units b4 cold units

  21. Warm – cold correlations: MQY a4 a4 warm units a4 cold units

  22. Warm – cold correlations: MQY b6 b6 warm units b6 cold units

  23. Warm – cold correlations: MQY b6, after correction for permeability by P. Hagen b6 warm units b6 cold units

  24. Warm – cold correlations: MQY b10 b10 warm units b10 cold units

  25. Warm – cold correlations: MQY b10, after correction for permeability by P. Hagen b10 warm units b10 cold units

  26. W-C offsets for MQM and MQY MQY MQM

  27. Influence of pre-cycles on b6

  28. b6 model for MQY Active components: GEOMETRIC DC magnetization RES magnetization I GEOM = 1500 A µ = -4.5 p = 0.5 q = 1 ρ = 0.2 τ = 6.3

  29. b10 model for MQY Active components: GEOMETRIC DC magnetization RES magnetization I GEOM = 1500 A µ = 0.14 p = 0.4 q = 1.5 ρ = 0.0025 τ = 7

  30. REFPAR files

  31. Conclusions MQM and MQY static models are defined Cold Warm correlations are improved by corrections for permeability REFPARM files are filled with final GEOM values for ALL magnets b6 and b10 models are available as generic, OK for the current range above I_low For I< I_low the strategy (as for the TF) is to modify the RES MAG component. However this is delicate, very sensitive to the exponent in the power law Therefore, final values of the RES MAG parameters will be given also taking into account of the results of the complementary measurements (ongoing for MQY).

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